732641040 has 120 divisors (see below), whose sum is σ = 2467317528. Its totient is φ = 194826240.

The previous prime is 732641017. The next prime is 732641051. The reversal of 732641040 is 40146237.

732641040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53934336 + 678706704 = 7344^2 + 26052^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 732640995 and 732641013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301912 + ... + 304328.

Almost surely, 2^732641040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 732641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233658764).

732641040 is an abundant number, since it is smaller than the sum of its proper divisors (1734676488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

732641040 is a wasteful number, since it uses less digits than its factorization.

732641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 732641040 is about 27067.3426844971. The cubic root of 732641040 is about 901.4958826984.

Adding to 732641040 its reverse (40146237), we get a palindrome (772787277).

The spelling of 732641040 in words is "seven hundred thirty-two million, six hundred forty-one thousand, forty".